Hi Bert,
I think that if you are complaining about the top tending to spin staying too much in the same place, making the tip more rounded will not help.
What makes the top to move along the table while spinning is the top spinning in slightly tilted position, so that the contact point of the tip is not located in the axis of rotation of the top but at some distance from it, depending on the shape of the tip.
The larger this distance, the faster the top will move on the table. If you make a more rounded tip, the littler the radius of curvature, the more you will reduce this distance and the top will tend to become more stationary.
So I believe that what you need is to flatten the tip a bit more, lengthening the radius of curvature, and not to round it.
The tip must be perfectly centered in the geometrical axis of the top, or you would have imbalance.
You don't want any imbalance in the top, it is not imbalance which makes the top to move in that way.
If you change the shape of the tip, you should do this with a lathe, to maintain good concentricity and simmetry of the tip, so the top would move more smoothly.
I don't think you need rubber rings; it seems to me that you only need to improve the shape of the contact point of the tip, making it flatter. The flatter tip will also make it "bounce" better.
I would leave in place the mm 4 flat area in the center of the tip.